1. Structural defects in automobile doors are detected, and the number of occurrences of each defect type is given as follows:

Defects	Total Number of occurrence
Dents	6
Pits	10
Misassembled parts	4
Undertrimmed parts	18
Missing holes	10
Unlubricated parts	6
Out of contour parts	35
Uncoupled parts	2

Construct and interpret a Pareto diagram of the collected data. (20 points)

1. Assume a problem of computer downtime and build a cause and effect diagram where the generic headings of the problem are software, hardware, users, and environment. (35 points)
2. Assume X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the value for x that solves each of the following: (7 pts each)

(a) P(X > x) = 0.5

(b) P(X > x) = 0.95

(c) P(x < X < 10) = 0.2

(d) P(-x < X - 10 < x) = 0.95

(e) P(-x < X - 10 < x) = 0.99